25 POINTS!! help as soon as possible, please! I am timed and need this answer to help me pass my math class!

For each person, there are only two possible outcomes. Either they have been vaccinated, or they have not. The probability of a person having been vaccinated is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

60% of the people have been vaccinated.

This means that $p = 0.6$

If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?

This is

$P(X \geq 1)$ when $n = 4$ .

We have that

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{4,0}.(0.6)^{0}.(0.4)^{4} = 0.0256$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0256 = 0.9744$

0.9744 probability that AT LEAST ONE of them has been vaccinated

5 0

3 years ago

Which of the best following statements BEST described the location of -(-6) on a number line?

stellarik [79]

For this problem it should be The answer A

7 0

3 years ago

Read 2 more answers

1. How might mathematics play a role in making movies? Name some movies where math might have been used.

vovikov84 [41]

Answer with Explanation:

Mathematics plays a vital role in human lives. It is also used not only in schools, but also when it comes to making films. An example of these films are "Pixar" animated films such as "Toy Story" and "Incredibles 2."

For example, the movement of one character from the left to the right (sliding movement), when it comes to computers is being done with the help of a mathematical concept called "Coordinate geometry." This allows to bridge the gap between what designers want with their characters and its movement. So, in order to do this, the mathematical translation used is "addition" because the x coordinate started with 1 as its value and this ended with the value of 5 when the picture slid to the right. When it comes to making characters larger in an anime, we have to consider the concept of "multiplication." On the other hand, if objects are to be rotated, we have to consider the concept of "Trigonometry."

This is just one way Mathematics play a role in making movies.

5 0

3 years ago